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Journal articles
Asymptotic properties of maximum likelihood estimator for the growth rate of a stable CIR process based on continuous time observations
Abstract : We consider a stable Cox--Ingersoll--Ross process driven by a standard Wiener process and a spectrally positive strictly stable L\'evy process, and we study asymptotic properties of the maximum likelihood estimator (MLE) for its growth rate based on continuous time observations. We distinguish three cases: subcritical, critical and supercritical. In all cases we prove strong consistency of the MLE in question, in the subcritical case asymptotic normality, and in the supercritical case asymptotic mixed normality are shown as well. In the critical case the description of the asymptotic behavior of the MLE in question remains open.
https://hal-normandie-univ.archives-ouvertes.fr/hal-02332449
Contributor : Mohamed Ben Alaya Connect in order to contact the contributor
Submitted on : Thursday, October 24, 2019 - 5:48:01 PM
Last modification on : Thursday, November 4, 2021 - 4:54:49 PM
Contributor : Mohamed Ben Alaya Connect in order to contact the contributor
Submitted on : Thursday, October 24, 2019 - 5:48:01 PM
Last modification on : Thursday, November 4, 2021 - 4:54:49 PM
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